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Finding the Fourth Proportional to 339.39, 508.98 and 156.43

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Solution

The fourth proportional to 339.39, 508.98 and 156.43 is: 234.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.39 : 508.98 = 156.43 : x
  2. Step 2: Convert to fraction form
    339.39/508.98 = 156.43/x
  3. Step 3: Cross multiply
    339.39x = 508.98 × 156.43
  4. Step 4: Simplify right side
    339.39x = 79,620.96
  5. Step 5: Solve for x
    x = 79,620.96/339.39
  6. Step 6: Final answer
    x = 234.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.